Introducing a reputational system has a differential impact on the different types of punishment.
In the absence of reputation, anti-social punishment is able to successfully prevent the invasion of defectors by cooperators – as in [1]} – but is unable to do the same with the new conditional strategies under a social norm. Contrastingly, pro-social punishment positively reinforces the reputational information, increasing the level of cooperation in the population. This result is in contrast to [2]}, that establishes an experimental superiority of punishment institutions over reputational mechanisms for the public goods game and poses doubts on whether this result can be extended to experiments where the OPGG is played.
